(9x-9)(10x+5)=

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Solution for (9x-9)(10x+5)= equation:


Simplifying
(9x + -9)(10x + 5) = 0

Reorder the terms:
(-9 + 9x)(10x + 5) = 0

Reorder the terms:
(-9 + 9x)(5 + 10x) = 0

Multiply (-9 + 9x) * (5 + 10x)
(-9(5 + 10x) + 9x * (5 + 10x)) = 0
((5 * -9 + 10x * -9) + 9x * (5 + 10x)) = 0
((-45 + -90x) + 9x * (5 + 10x)) = 0
(-45 + -90x + (5 * 9x + 10x * 9x)) = 0
(-45 + -90x + (45x + 90x2)) = 0

Combine like terms: -90x + 45x = -45x
(-45 + -45x + 90x2) = 0

Solving
-45 + -45x + 90x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '45'.
45(-1 + -1x + 2x2) = 0

Factor a trinomial.
45((-1 + -2x)(1 + -1x)) = 0

Ignore the factor 45.

Subproblem 1

Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5

Subproblem 2

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Solution

x = {-0.5, 1}

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